In the present work we study compressible two phase flows with phase transitions across a sharp interface, see Refs. [1]}, [2]}, [3]}, [4]}.
In particular we consider isothermal inviscid two phase flows governed by the Euler equations, where the phase transition is modeled using a kinetic relation.
This setting was first discussed by Hantke et al.[3]} and then extended by Thein[6]} and Hantke and Thein[7]}.
The use of a kinetic relation for undercompressive shock waves was suggested by Abeyaratne and Knowles [8]} for solid-solid phase transitions.
This kinetic relation controls the mass transfer across the interface between the two adjacent phases.
For a more general context of kinetic relations see LeFloch[9]}.
